Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions

Nan Wang, Jingmei Pang and Jinliang Wang

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

The global stability of a multigroup SEIR epidemic model with general latency distribution and general incidence rate is investigated. Under the given assumptions, the basic reproduction number is defined and proved as the role of a threshold; that is, the disease-free equilibrium is globally asymptotically stable if , while an endemic equilibrium exists uniquely and is globally asymptotically stable if . For the proofs, we apply the classical method of Lyapunov functionals and a recently developed graph-theoretic approach.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:740256

DOI: 10.1155/2014/740256

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